Question

Jamal states that ax + b = a(x + c), given a, b, and c are not equal to 0.

Answer 1

To answer the question, we must find c of the equation:
 ax + b = a (x + c)
 If we divide by "a" on both sides we have to:
 x + b / a = x + c
 For values of "a" other than zero.
 So:
 c = b / a.
 So that the affirmation of Jamal Be true c = b / a

Answer 2

Answer:

$c=\frac{b}{a}$

Step-by-step explanation:

We have been given an equation $ax+b=a(x+c)$, given that a, b and c are not equal to 0.    

Let us solve for the value of c that will make Jamal's statement true.

Upon dividing both sides of our equation by a we will get,

$\frac{ax+b}{a}=\frac{a(x+c)}{a}$

$\frac{ax+b}{a}=x+c$

$\frac{ax}{a}+\frac{b}{a}=x+c$

$x+\frac{b}{a}=x+c$

Now, we will subtract x from both sides of our equation.

$x-x+\frac{b}{a}=x-x+c$

$\frac{b}{a}=c$

Therefore, the value of $c=\frac{b}{a}$ will make Jamal’s statement true.